Mathematics (Further)

Course summary

Have you ever wondered why we divide a circle into 360 degrees; how we solve equations which are more complex than quadratics; how statistics can win an argument; or what happens to vehicles in a collision? How about the number of staff needed to answer the phones in a call centre? Or even how to shoot a monkey out of a tree? Any of these questions, and many more, can be answered by studying Mathematics at A Level. Mathematics is recognised as one of the most respected and challenging A Levels and, for this reason, is highly rated by a wide variety of university courses and employers. Mathematics A Level can lead to university courses in Mathematics, Sciences, Medicine, Engineering, Psychology, Economics, Archaeology and careers in almost anything. If you are someone who wants to study Mathematics for its beauty, as well as its uses, then you should also consider Further Mathematics. Here you can explore the mysteries of hyperbolic functions, complex numbers (made using square roots of negative numbers), what keeps a roller coaster on the track in a loop-the-loop and how to structure a formal proof. Year 1 Core Mathematics: calculus; trigonometry and trigonometric identities; factor and remainder theorems; proof; graph sketching and transformations; logarithms and exponentials; binomial expansion; and vectors. Statistics: data collection; measures of location and spread; representing data; correlation; probability; binomial and normal distributions Mechanics: modelling; equations of constant acceleration; forces and motion; applications of calculus to mechanics. Year 2 Core Mathematics: algebraic methods; functions; sequences and series; further binomial expansions; radian measure; further trigonometry and identities; parametric equations; calculus; numerical methods; and further vectors. Statistics: regression; correlations and hypothesis testing; conditional probability; and further normal distribution. Mechanics: moments; forces; projectiles; kinematics; statics; and dynamics. Mathematics + Further Mathematics A-Level Students of Further Mathematics cover all of the material listed above including both statistics and mechanics. They will also study further Core Mathematics and two optional courses, choosing two from Further Mechanics, Further Statistics, Decision Mathematics and Further Pure Mathematics. Students will be taught the entire Mathematics A Level in the Lower Sixth with Further Mathematics studied in the Upper Sixth. Mathematics at A Level + Further Mathematics at AS Level For those students who want to stretch themselves mathematically, move at a faster pace and cover more of the content required for some highly mathematical degrees without the time and content commitment of a full A Level in Further Mathematics, we are offering 1.5 Mathematics over two years, spreading the workload required and completing an A level in Mathematics and an AS in Further Mathematics. It is also possible to pick up AS Further Mathematics in the Upper Sixth for students who feel they would like to devote more time to Mathematics.